Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $8. Method II takes 1.5 hours, and the material costs $4. Next week, they plan to spend 91 hours in labor and $896 in material for refinishing tables. How many tables should they plan to refinish with each method? (round to two decimal places if necessary)

Question

Employees use two methods to refinish tables.  Method I takes 0.5 hours and the material costs $8.  Method II takes 1.5 hours, and the material costs $4.  Next week, they plan to spend 91 hours in labor and $896 in material for refinishing tables.  How many tables should they plan to refinish with each method? (round to two decimal places if necessary)

anonymous · Answer

0.5x+1.5y=91
8x+4y=896
x...mehod I and y...method II

anonymous · Answer

I dont understand how to solve this

anonymous · Answer

use elimination method to find the values of x and y

anonymous · Answer

multiply first eqn by 8,second by 0.5 and subtract, x is cancelled out
12y=728
2y=448
--------
10y=280
y=28

anonymous · Answer

x=98